Using a Laplace approximation to estimate the genetic variance components in animal models

Document Type : Research Paper


1 Department of Statistics, Shiraz University, Shiraz, Iran

2 Department of Statistics, Semnan University, Semnan, Iran


‎Animal model is a type of mixed-effects model‎, ‎where covariance among data points comes from genetic and environmental effects‎. ‎In this paper, the multivariate normal distribution is assumed for the genetic random effects. A new approximate maximum likelihood method is proposed to obtain the estimates of the genetic variance components and heritability‎. ‎The effectiveness of the proposed method is illustrated through a simulation study.